Question

Find the angle between the vectors v=2i+2j+k and w=2i+2i-k

Answer 1

I'm guessing you mean w = 2i + 2j - k.

Then as the dot product/scalar product
\[ v.w = |v| |w| \cos \theta \]

Solve this equation for \( \cos \theta \) and then for \( \theta \).

Answer 2

\[\text{ArcCos }\left[\frac{7}{9}\right]=0.679674=38.94\text{ degrees} \]

Answer 3

correct thanks!